Singular points in generic two-parameter families of vector fields on 2-manifold
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909541221793792 |
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| author | Filimonov, Dmitry A. Ilyashenko, Yulij S. |
| author_facet | Filimonov, Dmitry A. Ilyashenko, Yulij S. |
| contents | In this paper, we give a full description of all possible singular points that occur in generic 2-parameter families of vector fields on compact 2-manifolds. This is a part of a large project aimed to a complete study of global bifurcations in two-parameter families of vector fields on the two-sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11465 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Singular points in generic two-parameter families of vector fields on 2-manifold Filimonov, Dmitry A. Ilyashenko, Yulij S. Dynamical Systems 37G10 (Primary) 58K45, 34C23 (Secondary) In this paper, we give a full description of all possible singular points that occur in generic 2-parameter families of vector fields on compact 2-manifolds. This is a part of a large project aimed to a complete study of global bifurcations in two-parameter families of vector fields on the two-sphere. |
| title | Singular points in generic two-parameter families of vector fields on 2-manifold |
| topic | Dynamical Systems 37G10 (Primary) 58K45, 34C23 (Secondary) |
| url | https://arxiv.org/abs/2410.11465 |